A charge of $24 C$ $24 C$ passes through a circuit every $9 s$ $9 s$ . If the circuit can generate $12 W$ $12 W$ of power, what is the circuit's resistance?

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Answer 1 · 2017-04-09T06:07:17

$1.6 Omega$

Charge, time and current are related by Q = It

Hence, I = $Q/t$
I = $24/9$ = 2.7 A (rounded off to 2 s.f.)

Power = $I^2R$

R = $P/I^2$

R = $12/(2.7)^2$ = $1.6 Omega$ (rounded to 2 s.f.)

A charge of 24 C24C24 C passes through a circuit every 9 s9s9 s. If the circuit can generate 12 W12W12 W of power, what is the circuit's resistance?